10.49 A multiple-comparison procedure for comparing four NW treatment means produced the confidence intervals shown here. Rank the means from smallest to largest. Which means are significantly different? (12): (2,15) (μ1-μ3): (4,7) (M1 - 14): (-10, 3) - (M2 M3): (-5, 11) - (M2 M4): (-12, -6) (M3 M4): (-8,-5)
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- 6.12 Margin of error and the confidence interval. A stress level study based on a random sample of 49 undergraduates at your university reported a mean of 73 (on a 0 to 100 scale) with a margin of error of 8 for 95% confidence. (a) Give the 95% confidence interval.Blood cocaine concentration (mg/L) was determinedboth for a sample of individuals who had died fromcocaine-induced excited delirium (ED) and for a sampleof those who had died from a cocaine overdose withoutexcited delirium; survival time for people in bothgroups was at most 6 hours. The accompanying datawas read from a comparative boxplot in the article“Fatal Excited Delirium Following Cocaine Use” (J.of Forensic Sciences, 1997: 25–31). ED 0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3.3 .4 .5 .7 .8 1.0 1.5 2.7 2.83.5 4.0 8.9 9.2 11.7 21.0Non-ED 0 0 0 0 0 .1 .1 .1 .1 .2 .2 .2.3 .3 .3 .4 .5 .5 .6 .8 .9 1.01.2 1.4 1.5 1.7 2.0 3.2 3.5 4.14.3 4.8 5.0 5.6 5.9 6.0 6.4 7.98.3 8.7 9.1 9.6 9.9 11.0 11.512.2 12.7 14.0 16.6 17.8 a. Determine the medians, fourths, and fourth spreadsfor the two samples.b. Are there any outliers in either sample? Any extremeoutliers?c. Construct a comparative boxplot, and use it as abasis for comparing and contrasting the ED andnon-ED samples.4/10
- A repeated-measures study comparing two treatments with a sample of n = 4 participants produces a mean of M1 = 18 with SS = 24 for the scores in the first treatment, a mean of M2 = 14 with SS = 18 for the scores in the second treatment, and a mean of MD = 4 with SS = 12 for the difference scores. What is the estimated standard error for the sample mean difference?2 questions Are the data sufficient to indicate a significant change in cholesterol level? Test with α = .05. 2. Compute r2, the percentage of variance accounted for by the treatment, to measure the size of the treatment.1.4
- 9.4 Differences between ProportionsA nutrition store in the mall is selling "Memory Booster" which is a concoction of herbs and minerals that is intended to improve memory performance. To test the effectiveness of the herbal mix, a researcher obtains a sample of n = 16 people and has each person take the suggested dosage each day for 4 weeks. At the end of the four-week period, each individual takes a standardized memory test. The scores from the sample produced a mean of M = 26 with a sample variance of s2 = 64. In the general population, the standardized test is known to have a mean of μ = 20. 1. Do the sample data support the conclusion that the Memory Booster has a significant "booster" effect? Test with α = .05. Hint: think about 1- or 2-tail test to use. 2. Compute Cohen's d and r2 to measure the treatment effect size.